Image-forming lens, and imaging apparatus and information device using the image-forming lens

ABSTRACT

An image-forming lens includes, from an object side to an image side in order: a first lens group; an aperture; and a second lens group with a positive refractive power, the first lens group including, from the object side in order: a first F lens group with a negative refractive power; and a first R lens group with a positive refractive power, the first F lens group including, from the object side in order: a first negative lens which has a surface on the image side having a large curvature; and a second negative lens which has a surface on the object side having a large curvature, and the first R lens group including: any one of a positive lens and a cemented lens with a positive refractive power as a whole, wherein a distance from a surface on a most object side of the first lens group to an image plane in a state of focusing on an object at infinity: L, and a maximum image height: Y′ satisfy Conditional expression 1: 2.8&lt;L/Y′&lt;4.3.

CROSS REFERENCE TO RELATED APPLICATIONS

The present application is based on and claims priority from Japanesepatent application numbers 2010-144335, filed Jun. 24, 2010 and2010-172422, file Jul. 30, 2010, the disclosures of which are herebyincorporated by reference herein in their entireties.

BACKGROUND

The present invention relates to an image-forming lens that forms animage of a photographic subject in order to image a still image or amoving image, and to an imaging apparatus, and an information devicesuch as a portable information terminal device and the like having animaging function using the image-forming lens. The image-forming lens iscapable of being used in a silver-halide imaging apparatus using asilver-halide film, and in particular, the image-forming lens issuitable for an imaging apparatus using an electronic imaging devicesuch as a digital camera, a digital video imaging apparatus, and thelike.

As the market of so-called digital cameras has been getting larger andlarger, requests regarding digital cameras from users are varied.

Among such digital cameras, a category of a small imaging apparatus withhigh-picture quality in which a relatively large image sensor, adiagonal length of which is about 20 mm to 45 mm, is used and ahigh-performance single focus lens is mounted is attracting attentionfrom users.

A request from users in this category is heavily weighted toward notonly high performance but also excellent portability, that is,miniaturization.

Here, in terms of high performance, at least, in addition to having aresolution capable of corresponding to an image sensor having about 10to 20 million pixels (high resolution), less coma flare, high contrastand no point image distortion in a peripheral part of a field angle atan open aperture, less chromatic aberration and no occurrence ofunnecessary coloring in a part having a large brightness difference,less distortion and capability of drawing a straight line as a straightline, and so on are at least needed.

Additionally, in terms of a large diameter, due to the necessity ofmaking a difference from a general compact imaging apparatus having azoom lens, at least a smallest f-number which is less than F2.8 where anaperture is open at a maximum is needed.

Moreover, in terms of miniaturization, in a high-resolution compactimaging apparatus, since a relatively large image sensor is used for asize of a body of the imaging apparatus, a real focal length is longerthan that of a compact imaging apparatus having a small image sensor.Therefore, in order to achieve miniaturization having the highresolution image sensor, it is necessary to shorten an entire length ofthe image-forming lens in the imaging apparatus.

Furthermore, in terms of the field angle of a shooting lens, many usersdemand a rather wide angle, and it is preferable that a half-field angleof an image-forming lens be about 38 degrees.

The half-field angle of 38 degrees is equivalent to a focal length of 28mm for a 35 mm silver-halide imaging apparatus using a traditional 35 mmsilver-halide film (so-called a Leica format silver-halide film).

As an image-forming lens for a digital camera, many types areconsidered; however, as a typical constitution of a wide-angle singlefocus lens, there is a so-called retrofocus type image-forming lenshaving a lens group with a negative refractive power on an object sideand a lens group with a positive refractive power on an image side.

An area sensor used as an image sensor has a characteristic such thateach pixel is provided with a color filter or a micro lens. And there isa demand that an exit pupil position be distant from an image plane anda marginal light flux be incident onto the sensor at an angle close toperpendicularity. Those are the reasons for employing the retrofocustype image-forming lens.

However, in the retrofocus type image-forming lens, asymmetry of itsrefractive power arrangement is large, and corrections of comaticaberration, distortion, transverse chromatic aberration and the liketend to be incomplete.

In addition, in the retrofocus type image-forming lens, originally, thepurpose is to ensure a back focus to use a wide-angle lens as adetachable lens for a single-lens reflex imaging apparatus. Therefore,as is clear from the above, the entire length of the lens (a distancefrom a most object side to a most image side of a lens system) tends tobe longer.

Japanese patent application publication numbers 2010-39088, H09-96759,and the like disclose that such a retrofocus-type image-forming lens, inwhich the smallest f-number is less than 2.8, the half-field angle isaround 38 degrees, and various aberrations can be favorably corrected.

The image-forming lens disclosed in Japanese patent applicationpublication number 2010-39088 has the smallest f-number of about 1.9 andis bright. However, the entire length of the lens is more than ninetimes larger than a maximum image height, and is not sufficient forminiaturization.

Additionally, the image-forming lens disclosed in Japanese patentapplication publication number H09-96759 has a half-field angle of 41.5degrees and is wide-angle. However, the entire length of the lens ismore than six times larger than a maximum image height, and is notsufficient for miniaturization, either.

SUMMARY

An objective of the present invention is to provide an image-forminglens with high performance, and an imaging apparatus and an informationdevice using the image-forming lens. In particular, the objective of thepresent invention is to provide an image-forming lens that is wide-angleand has a large diameter such that the half-field angle is about 38degrees and the smallest f-number is less than 2.8, and is small enough,and sufficiently decreases astigmatism, field curvature, transversechromatic aberration, a color difference of comatic aberration,distortion and so on, has a resolution corresponding to an image sensorhaving 10 million to 20 million pixels, has no point image distortion ina peripheral part of a field angle at an open aperture, has highcontrast, and does not cause unnecessary coloring in a part where abrightness difference is large, and is capable of drawing a straightline as a straight line without distortion.

In order to achieve the above objective, an embodiment of the presentinvention provides: an image-forming lens comprising, from an objectside to an image side in order: a first lens group; an aperture; and asecond lens group with a positive refractive power, the first lens groupincluding, from the object side in order: a first F lens group with anegative refractive power; and a first R lens group with a positiverefractive power, the first F lens group including, from the object sidein order: a first negative lens which has a surface on the image sidehaving a large curvature; and a second negative lens which has a surfaceon the object side having a large curvature, and the first R lens groupincluding: any one of a positive lens and a cemented lens with apositive refractive power as a whole, wherein a distance from a surfaceon a most object side of the first lens group to an image plane in astate of focusing on an object at infinity: L, and a maximum imageheight: Y′ satisfy Conditional expression 1: 2.8<L/Y′<4.3.

In order to achieve the above objective, an embodiment of the presentinvention provides: an image-forming lens comprising, from an objectside to an image side in order: a first lens group; an aperture; and asecond lens group with a positive refractive power, the first lens groupincluding, from the object side in order: a first F lens group with anegative refractive power; and a first R lens group with a positiverefractive power, the first F lens group including, from the object sidein order: a first negative lens which has a surface on the image sidehaving a large curvature; and a second negative lens which has a surfaceon the object side having a large curvature, and the first R lens groupincluding: any one of a positive lens and a cemented lens with apositive refractive power as a whole, wherein a distance from a surfaceon a most object side of the first lens group to an image plane in astate of focusing on an object at infinity: L, a maximum image height:Y′, a curvature radius of the surface on the object side of the secondnegative lens: r₂₁, and a curvature radius of a surface on the imageside of the second negative lens: r₂₂ satisfy Conditional expression 1:2.8<L/Y′<4.3 and Conditional expression 2:−7.0<(r₂₁+r₂₂)/(r₂₁−r₂₂)<−0.7.

In order to achieve the above objective, an embodiment of the presentinvention provides: an image-forming lens comprising, from an objectside to an image side in order: a first lens group that has a positiverefractive power or is approximately afocal; an aperture; and a secondlens group having a positive refractive power, the first lens groupincluding, from the object side in order: a first negative lens that hasa surface on the image side having a large curvature; a second negativelens that has a surface on the object side having a large curvature; anda first R lens group having a positive refractive power of a single lensor a cemented lens, the second lens group including, from the objectside in order: a second F lens group with a positive refractive powerwhere a biconvex lens and a biconcave lens are cemented; a second M lensgroup with a negative refractive power of a single lens or a cementedlens having a concave shape on a surface on a most object side and aconvex shape on a surface on a most image side; and a second R lensgroup of a positive lens.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic cross-sectional diagram along an optical axisillustrating a constitution of an optical system of an image-forminglens according to Example 1 of the present invention.

FIG. 2 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens illustrated in FIG. 1 is focused on an object atinfinity.

FIG. 3 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens illustrated in FIG. 1 is focused on an object in thenear distance at − 1/20×.

FIG. 4 is a schematic cross-sectional diagram along the optical axisillustrating a constitution of an optical system of an image-forminglens according to Example 2 of the present invention.

FIG. 5 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens illustrated in FIG. 5 is focused on an object atinfinity.

FIG. 6 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens illustrated in FIG. 4 is focused on the object in thenear distance at − 1/20×.

FIG. 7 is a schematic cross-sectional diagram along the optical axisillustrating a constitution of an optical system of an image-forminglens according to Example 3 of the present invention.

FIG. 8 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens illustrated in FIG. 7 is focused on an object atinfinity.

FIG. 9 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens illustrated in FIG. 7 is focused on the object in thenear distance at − 1/20×.

FIG. 10 is a schematic cross-sectional diagram along the optical axisillustrating a constitution of an optical system of an image-forminglens according to Example 4 of the present invention.

FIG. 11 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens illustrated in FIG. 10 is focused on an object atinfinity.

FIG. 12 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens illustrated in FIG. 10 is focused on the object inthe near distance at − 1/20×.

FIG. 13 is a schematic cross-sectional diagram along the optical axisillustrating a constitution of an optical system of an image-forminglens according to Example 5 of the present invention.

FIG. 14 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 5 illustrated in FIG. 13 isfocused on an object at infinity.

FIG. 15 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens according to Example 5 illustrated in FIG. 13 isfocused on the object in the near distance at − 1/20×.

FIG. 16 is a schematic cross-sectional diagram along the optical axisillustrating a constitution of an optical system of an image-forminglens according to Examples 6 of the present invention.

FIG. 17 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 6 illustrated in FIG. 13 isfocused on an object at infinity.

FIG. 18 illustrates aberration diagrams of spherical aberration,astigmatism, distortion, comatic aberration in a state where theimage-forming lens according to Example 6 illustrated in FIG. 13 isfocused on the object in the near distance at − 1/20×.

FIGS. 19A and 19B are schematic perspective diagrams seen from an objectside illustrating an external constitution of a digital camera as animaging apparatus according to an embodiment of the present invention,and FIG. 19A illustrates a state where an imaging lens structured byusing the image-forming lens according to an embodiment of the presentinvention is collapsed in a body of the digital camera, and FIG. 19Billustrates a state (partially omitted) where the imaging lens isextended from the body of the digital camera.

FIG. 20 is a schematic perspective diagram seen from the photographer'sside illustrating the external constitution of the digital cameraillustrated in FIGS. 19A and 19B.

FIG. 21 is a schematic block diagram illustrating a functionalconstitution of the digital camera illustrated in FIGS. 19A and 19B.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Hereinafter, embodiments of the present invention will be explained indetail.

In an image-forming lens according to an embodiment of the presentinvention, the image-forming lens of a so-called retrofocus typeimage-forming lens, generally, a lens system having a negativerefractive power is arranged on an object side and a lens system havinga positive refractive power is arranged on an image side. And due to itsasymmetry, distortion, transverse chromatic aberration, and the likeoccur easily, and decreasing those aberrations is a major issue tosolve.

When making a diameter of the lens larger, this makes it difficult tocorrect comatic aberration or a color difference of comatic aberration,and more problems may occur.

In addition, the lens system of the retrofocus type image-forming lensis a lens system having been developed for ensuring a back focus bymoving a principle point to a rear side (that is, an image side).Therefore, there is a tendency of increasing an entire length of thelens making it difficult to correct the above aberration.

In the embodiment of the present invention, by employing the followingconstitutions, it is possible to solve those problems.

That is, the image-forming lens has a first lens group which is arrangedon an object side from an aperture, and a second lens group having apositive refractive power which is arranged on an image side from theaperture. The first lens group has a first F lens group having anegative refractive power and a first R lens group having a positiverefractive power in order from the object side. The first F lens groupincludes, in order from the object side, a first negative lens that hasa surface on the image side having a large curvature, and a secondnegative lens that has a surface on the object side having a largecurvature, and the first R lens group includes a positive lens, or acemented lens having a positive refractive power entirely. And theimage-forming lens satisfies following conditional expressions.

2.8<L/Y′<4.3   [Conditional expression 1]

−7.0<(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)<−0.7   [Conditional expression 2]

In the above conditional expressions, L denotes a distance from asurface on a most object side of the first lens group to the image sidein a state of focusing on an object at infinity, Y′ denotes a maximumimage height, r₂₁ denotes a curvature radius of a surface on the objectside of the second negative lens, and r₂₂ denotes a curvature radius ofa surface on the image side of the second negative lens.

Firstly, in the image-forming lens according to the embodiment of thepresent invention, on the image side of the first lens group, a lensgroup (first R lens group) having a positive refractive power isarranged, the aperture is placed between the first lens group and thesecond lens group having a positive refractive power, and the first lensgroup and the second group face each other. Therefore, it is easy tocontrol off-axis aberration.

Additionally, the point is a shape of the second negative lens which isa second lens arranged from the object side in the first F lens group.

The first lens group has a lens group (first F lens group) having anegative refractive power on the object side, and a lens group (first Rlens group) having a positive refractive power on the image side. Inconventional similar examples, there are many cases where both ensuringa field angle and correction of various aberrations such as sphericalaberration and so on are performed by taking a relatively large intervalbetween those.

However, it is not possible to achieve sufficient miniaturization.

In order to solve the above, the second negative lens has a surface onthe object side having a large curvature, and in particular, on theassumption that the entire length of the lens is in a range ofConditional expression 1, it is preferable that a shape satisfyConditional expression 2.

Note that if (r₂₁+r₂₂)/(r₂₁−r₂₂) is less than or equal to −7.0, therefractive power of the second negative lens becomes smaller, andaberration is easily offset by a surface on the object side of thesecond negative lens and a surface on the image side of the secondnegative lens. And therefore interaction of aberration between otherlenses decreases, the role of aberration correction of the secondnegative lens is limited, and an entire aberration level does notdecrease.

On the other hand, if (r₂₁+r₂₂)/(r₂₁−r₂₂) is equal to or more than −0.7,on-axis aberration (spherical aberration) and off-axis aberration(especially, astigmatism or comatic aberration of lower light (lightpasses through a lower part of a lens)) do not balance each other, andit is difficult to ensure picture qualities in the center of a pictureand in a peripheral part.

Additionally, it is preferable that the image-forming lens according tothe embodiment of the present invention satisfy the followingconditional expression.

0.8<Bf/Y′<1.6   [Conditional expression 3]

In Conditional expression 3, Bf denotes a distance from a surface on amost image side of the second lens group to the image plane in the stateof focusing on the object at infinity, and Y′ denotes the maximum imageheight.

Note that if Bf/Y′ is not less than or equal to 0.8, on the assumptionof an imaging apparatus with a collapsible-lens type, it is difficult tobe stored effectively, and an image is likely to be affected by ascratch or a dust on a lens surface of the second lens group, andtherefore it is unfavorable.

On the other hand, if Bf/Y′ is equal to or more than 1.6, a space toarrange lens groups is substantially small, and therefore it isdifficult to perform aberration correction sufficiently.

Additionally, it is preferable that the image-forming lens according tothe embodiment of the present invention satisfy the followingconditional expression.

0.20<L ₁ /L<0.32   [Conditional expression 4]

In Conditional expression 4, L₁ denotes a distance from a surface on amost object side of the first lens group to a surface on a most imageside of the first lens group, and L denotes the surface on the mostobject side of the first lens group to the image plane in the state offocusing on the object at infinity.

Note that if L₁/L is less than or equal to 0.20, there is a possibilitythat a lens group including three groups of three lenses or three groupsof four lenses which is arranged as the first lens group does not form asuitable shape to perform aberration correction with a sufficient degreeof freedom.

On the other hand, if L₁/L is equal to or more than 0.32, the apertureis too close to the image plane, it is difficult to distance an exitpupil position from the image plane, and a refractive power arrangementin the second lens group does not balance to recover the above, andtherefore it is unfavorable.

Moreover, as a refractive power arrangement of an entire image-forminglens, it is preferable to satisfy the following conditional expression.

0.0<f _(A) /f ₁<0.6   [Conditional expression 5]

In Conditional expression 5, f_(A) denotes a focal length of the entireimage-forming lens, and f₁ denotes the focal length of the first lensgroup.

In the image-forming lens according to the embodiment of the presentinvention, it is also considered that the first lens group functions asa so-called wide-converter added to the second lens group.

However, in terms of actual aberration correction, it is not alwaysideal that the first lens group be perfectly afocal.

Note that if f_(A)/f₁ is less than or equal to 0.0, a refractive powerof the second lens group has to be increased, curvature on the imageplane increases, large negative distortion easily occurs, and thereforeit is unfavorable.

On the other hand, if f_(A)/f₁ is equal to or more than 0.6, thecontribution to an image-forming function of the second lens groupdecreases, the first lens group comes to share this, and therefore aninteraction of a relatively large aberration between the first lensgroup and the second lens group occurs, unnecessary production errorsensitivity increases, and therefore it is unfavorable.

As a refractive power arrangement of the first lens group, it ispreferable to satisfy the following conditional expression.

−1.3<f _(1F) /f _(1R)<−0.7   [Conditional expression 6]

In Conditional expression 6, f_(1F) denotes a focal length of the firstF lens group (a combined focal length of the first negative lens and thesecond negative lens), f_(1R) denotes a focal length of the first R lensgroup.

Here, if f_(1F)/f_(1R) is less than or equal to −1.3, the first lensgroups comes to have a relatively strong refractive power, and it may bedifficult to satisfy Conditional expression 5.

On the other hand, if f_(1F)/f_(1R) is −0.7, in order to satisfyConditional expression 5, the first lens group becomes larger, and ifminiaturization is forced, it is difficult to perform aberrationcorrections, and therefore it is unfavorable.

Note that regarding Conditional expressions 5 and 6, it is possible toperform better aberration corrections if each of the followingconditional expressions is satisfied.

0.0<f _(A) /f ₁<0.3   [Conditional expression 5′]

−1.0<f _(1F) /f _(1R)<−0.7   [Conditional expression 6′]

In addition, it is preferable that the first lens group satisfy thefollowing conditional expression.

0.0<A _(1F−1R) /L ₁<0.1   [Conditional expression 7]

In Conditional expression 7, A_(1F−1R) denotes an interval between thefirst F lens group and the first R lens group, and L₁ denotes thedistance from the surface on the most object side of the first lensgroup to the surface on the most image side of the first lens group.

In the constitution of the image lens according to the embodiment of thepresent invention, it is preferable that a numerical value ofA_(1F−1R)/L₁ be smaller, and if it is equal to or more than 0.1, it isdifficult to balance aberrations.

It is preferable that at least one of a material of the first negativelens of the first F lens group and a material of the second negativelens of the first F lens group satisfy the following Conditionalexpressions.

1.45<n_(d)<1.65   [Conditional expression 8]

55.0<v_(d)<95.0   [Conditional expression 9]

0.015<P _(g,F)−(−0.001802×v _(d)+0.6483)<0.050   [Conditional expression10]

In Conditional expressions 8 to 10, n_(d) denotes a refractive index ofthe first negative lens or the second negative lens of the first F lensgroup, v_(d) denotes Abbe's number of the first negative lens or thesecond negative lens, and P_(g,F) denotes a partial dispersion ratio ofthe first negative lens or the second negative lens.

Here, the partial dispersion ratio P_(g,F) is expressed by

P _(g,F)=(n _(g) −n _(F))/(n _(F) −n _(C)).

In this expression, each of n_(g), n_(F), and n_(C) denotes a refractiveindex with respect to a g-line, an F-line, and a C-line of an opticalglass constituting the negative lenses, respectively.

At least one of the first negative lens and the second negative lens ofthe first F lens group includes a so-called anomalous dispersion glasswhich satisfies Conditional expressions 8 to 10, so that a secondaryspectrum of chromatic aberration is effectively decreased, and it ispossible to achieve a more favorable corrected state.

In addition, the first R lens group is a cemented lens, and it ispreferable to be a cemented lens of a positive lens and a negative lens,in order from the object side.

Thus, the first R lens group is the cemented lens of the positive lensand the negative lens, in order from the object side, so that it ispossible to correct axial chromatic aberration favorably.

In the image-forming lens according to the embodiment of the presentinvention, in a case of focusing on an object in a near distance, it ispreferable to make an interval between the first lens group and thesecond lens group shorter than that in the state of focusing on theobject at infinity.

In a case where focusing on the object in the near distance is performedby a simple entire extension of the image-forming lens, positive fieldcurvature (field curvature in a direction distant from the lens in aperipheral part) is likely to occur. However, the interval between thefirst lens group and the second lens group is shortened appropriately inaccordance with the extension, so that it is possible to suppress anoccurrence of field curvature.

It is more preferable to satisfy the following conditional expression.

−0.5<(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)<−0.2   [Conditional expression 11]

In Conditional expression 11, A₁₋₂ denotes an interval between the firstlens group and the second lens group in the state of focusing on theobject at infinity, A_(1-2M) denotes an interval between the first lensgroup and the second lens group in a case of focusing on the object inthe near distance at an imaging magnification of − 1/20×, Bf_(M) denotesa distance from a surface on the most image side of the second lensgroup to the image plane in the case of focusing on the object in thenear distance at an imaging magnification of − 1/20×, and Bf denotes adistance from the surface on the most image side of the second lensgroup to the image plane in the state of focusing on the object atinfinity.

Note that if (A_(1-2M)−A₁₋₂)/(Bf_(M)−Bf) is less than or equal to −0.5,a change of interval between the first lens group and the second lensgroup becomes excessive, and accordingly negative field curvature islikely to occur in the near distance rather than in infinity.

On the other hand, if (A_(1-2M)−A₁₋₂)/(Bf_(M)−Bf) is equal to or morethan −0.2, the change of the interval between the first lens group andthe second lens group is not sufficient, and accordingly positive fieldcurvature is likely to occur in the near distance rather than ininfinity.

Additionally, regarding the second lens group, it is preferable tosatisfy the following conditional expressions.

−3.0<f _(2b) /f ₂<−0.4   [Conditional expression 12]

−6.0<(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))<−2.0   [Conditionalexpression 13]

1.80<n_(d2b)<2.20   [Conditional expression 14]

In Conditional expression 12, f_(2b) denotes a focal length of thesecond M lens group S2M, and f₂ denotes a focal length of the secondlens group G2, and in Conditional expression 13, r_(2bF) denotes acurvature radius of the surface on the most object side of the second Mlens group S2M, and r_(2bR) denotes a curvature radius of the surface onthe most image side of the second M lens group S2M, and in Conditionalexpression 14, n_(d2b) denotes an average value of a refractive index ofa lens constituting the second M lens group S2M.

Conditional expression 1 is a conditional expression that controls theentire length of the lens L, which is prerequisite for Conditionalexpressions 12, and 13, in a relationship between the maximum imageheight Y′ (that is controlled by a length of a diagonal line of thelight-receiving surface of the image sensor.).

Conditional expression 12 is a conditional expression regarding arefractive power of the second M lens group. If f_(2b)/f₂ is less thanor equal to a lower limit −3.0, the refractive power of the second Mlens group is not sufficient, spherical aberration is not correctedsufficiently, and an astigmatic difference is not sufficientlysuppressed, and therefore it is unfavorable.

If f_(2b)/f₂ is equal to or more than an upper limit −0.4, therefractive power of the second M lens group is too strong, and aninteraction of aberration among each surface constituting the secondlens group becomes excessive, and it is difficult to suppress allaberrations sufficiently, and sensitivity for a production error becomeshigh, and therefore it is unfavorable.

Conditional expression 13 is a conditional expression regarding a shapeof the second M lens group. If (r_(2bF)+r_(2bR))/(r_(2bF)−r_(2bR)) isless than or equal to a lower limit −6.0, a meniscus shape of the secondM lens group is too strong, and spherical aberration tends to becorrected excessively, and inward comatic aberration tends to occur.

If (r_(2bF)+r_(2bR))/(r_(2bF)−r_(2bR)) is equal to or more than an upperlimit −2.0, it is difficult to maintain the meniscus shape which isnecessary for the second M lens group, and spherical aberration tends tobe corrected insufficiently, and outward comatic aberration tends tooccur. And therefore, in the second lens group as a whole, a positiverefractive power on the image side is not sufficient, and there may acase where an exit pupil distance is not sufficiently apart from theimage plane.

Therefore, the image-forming lens that satisfies Conditional expressions1, 12, and 13 can correct aberration appropriately, and it is possibleto achieve an image-forming lens with high performance that is capableof becoming smaller.

Conditional expression 14 is a conditional expression that is preferablysatisfied by the second M lens group S2M with the above Conditionalexpressions 1, 12, and 13. If n_(d2b) is less than or equal to a lowerlimit 1.80, it is difficult to suppress field curvature sufficiently. Ifn_(d2b) is less than or equal to the lower limit 1.80, and fieldcurvature is suppressed forcedly, curvature of each surface has to beset large, and an occurrence of other aberrations increases, and it isdifficult to balance the aberrations as a whole.

If n_(d2b) is equal to or more than an upper limit 2.20, there may be nosuch an optical material that the upper limit is equal to or more than2.20, or if it exists, it may be very expensive, and therefore usingsuch an optical material can not be realistic.

In the image-forming lens that satisfies Conditional expression 14 withConditional expressions 1, 12 and 13, field curvature is decreasedsufficiently, and it is possible to achieve an image-forming lens thatis smaller and has high performance.

In addition, it is preferable that the second lens group includes asecond F lens group having a positive refractive power, a second M lensgroup having a negative refractive power, and a second R lens grouphaving a positive refractive power, in order from the object side.

The second F lens group can be a cemented lens having a meniscus shape aconvex surface of which faces the object side as a whole.

The second M lens group can be a negative meniscus lens a concavesurface of which faces the object side, or a cemented lens having anegative meniscus shape a concave surface of which faces the object sideas a whole.

The second R lens group can be a positive lens a convex surface of whichfaces the image side. In order to more favorably correct distortion, andthe like, it is possible to have an aspheric surface in the second Rlens group.

Additionally, in order to suppress various aberrations which tend toincrease in accordance with miniaturization, it is preferable to have anaspheric surface also in the first F lens group.

It is preferable to have aspheric surfaces in the first F lens group andthe second R lens group together to mutually complement functions ofaberration correction and work more effectively.

Furthermore, an imaging apparatus according to the embodiment of thepresent invention is an imaging apparatus such as a digital camera, orthe like, and includes the image-forming lens as described above usedfor an imaging optical system.

And an information device according to the embodiment of the presentinvention is an information device such as a portable informationterminal device, or the like, and has an imaging function, and includesthe image-forming lens as described above used for an imaging opticalsystem.

And, in the image-forming lens according to the embodiment of thepresent invention, the refractive power of the first R lens group on themost image side of the first lens group G1 is positive, and therefractive power of the second F lens group on the most object side ofthe second lens group G2 is positive.

Thus, the first R lens group having the positive refractive power andthe second F lens group having the positive refractive power face eachother via the aperture, and on their outside, the second negative lenshaving the negative refractive power and the second M lens group havingthe negative refractive power are placed, respectively. While theimage-forming lens is a retrofocus type image-forming lens as a whole,it is easy to correct comatic aberration and transverse chromaticaberration by considering symmetry of the arrangement of the refractivepower.

Moreover, since the cemented lens of the biconvex lens on the objectside and the biconcave lens on the image side constitutes the second Flens group, a negative refractive power in the middle of the second lensgroup G2 is shared by the biconcave lens and the second M lens group,and therefore both monochromatic aberration and chromatic aberration arefavorably decreased.

And forming the second F lens group as the cemented lens makes itpossible to decrease an influence of a production error such as anoptical axis shift occurring in assembly to a lens frame.

Furthermore, a shape of the negative lens constituting the secondnegative lens is important.

The first lens group G1 has a lens system having the negative refractivepower on the object side (the first negative lens and the second lens)and a lens system having the positive refractive power on the image side(the first R lens group). In the known retrofocus type image-forminglens, there are many cases where both ensuring a field angle andcorrection of various aberrations such as spherical aberration and thelike are obtained by relatively enlarging this interval (intervalbetween the lens system having the negative refractive power and thelens system having the positive refractive power).

However, the image-forming lens in which the interval between the lenssystem having the negative refractive power and the lens system havingthe positive refractive power on the object side from the aperture islarge does not make it possible to achieve sufficient miniaturization ofa diameter of the image-forming lens.

In the image-forming lens according to the embodiment of the presentinvention, the negative lens constituting the second negative lens hasthe surface on the object side having the large curvature, and thereforeit is possible to correct on-axis aberration (spherical aberration) andoff-axis aberration (especially, astigmatism or comatic aberration oflower light (light passes through a lower part of a lens)) favorably.

The second M lens group is the single lens or the cemented lens asdescribed above, however in either case, the surface on the most objectside is the concave surface, and the surface on the most image side isthe convex surface.

That is, in a case where the second M lens group is the single lens, anegative meniscus lens having a concave surface on the object sideconstitutes the second M lens group, and also in a case where the secondM lens group is the cemented lens, the cemented lens having a negativemeniscus shape and a concave surface on the object side as a wholeconstitutes the second M lens group.

By forming the second M lens group as described above, an air lens (airspace) having a strong negative refractive power is formed between thesurface on the most object side of the second M lens group and thesurface on the most image side of the second F lens group, which greatlyfunctions a role in correction of spherical aberration and fieldcurvature of the second lens group G2 having the arrangement of thepositive, negative, and positive refractive power as a whole.

In addition, by forming the surface on the most image side of the secondM lens group as a concentric shape, an occurrence of comatic aberrationis suppressed, and at the same time, a positive refractive power isshared together with the second R lens group, and an exit pupil positionis apart from the image plane.

Thus, in the image-forming lens of the embodiment of the presentinvention, a structure of each part is optimized for purposes, andtherefore a new effect is obtained comprehensively, and it is possibleto achieve an image-forming lens that is wide-angle, and small, and hasa large diameter and high performance.

In such a basic structure, by satisfying each of the above Conditionalexpressions, it is possible to achieve an image-forming lens that issmaller and has higher performance.

EXAMPLE 1

Next, specific examples will be explained based on the embodiment of thepresent invention as described above.

The following Examples 1 to 6 are examples of specific configurations byspecific numerical value examples of image-forming lenses according tothe present invention. And Example 7 is a specific example of an imagingapparatus or information device according to the embodiment of thepresent invention using a lens unit having a zoom lens described in theExamples 1 to 6 as an imaging optical system.

The Examples 1 to 6 describe configurations and specific numerical valueexamples of each image-forming lens.

In each of the Examples 1 to 6, a maximum image height is 14.2 mm.

In the Examples 1 to 6, as an optical element of a parallel plate placedon an image plane side of the second lens group, an optical filter suchas an optical low-pass filter, an infrared cut filter, or the like, or acover glass (seal glass) of a light-receiving element of a CMOS(complementary metal oxide semiconductor) image sensor, or the like isconsidered, and here, this is referred to as a filter MF.

The optical element of the parallel plate is placed such that itssurface on the image side is at a position of about 0.5 mm on the objectside from the image plane; however, it is not limited thereto, and theoptical element of the parallel plate can be divided into a plurality ofelements.

In the Examples 1 to 6, several lens surfaces are formed into asphericsurfaces.

To form an aspheric surface, as a so-called molded aspheric lens, thereis a constitution such that each surface of the lens is formed directlyinto an aspheric surface, and as a so-called hybrid aspheric lens, thereis a constitution such that an aspheric surface is obtained by applyinga resin layer to form an aspheric surface on a surface of a sphericallens, and any of the above can be used.

Aberrations in the Examples 1 to 6 are corrected at a high level, andspherical aberration and axial chromatic aberration are so small thatthey are negligible.

Astigmatism, field curvature, and transverse chromatic aberration aresufficiently small, and comatic aberration and its color differencedistortion are favorably suppressed even in a most peripheral part, anddistortion also becomes sufficiently small an absolute value of which isless than or equal to 2.0%.

By configuring an image-forming lens as in Examples 1 to 6 of thepresent invention, it is clear that the image-forming lens is wide-angleand has a large diameter such that a half-field angle is about 38degrees, and a smallest f-number is less than 2.8, and extremely goodoptical performance can be maintained.

The following reference signs are common in the Examples 1 to 6.

-   F: focal length of entire system-   F: F-number-   ω: half-field angle (degree)-   R: curvature radius (paraxial curvature radius in a case of an    aspheric surface)-   D: surface interval-   N_(d): refractive index-   v_(d): Abbe's number-   K: conic constant of aspheric surface-   A₄: coefficient of aspheric surface of the fourth order-   A₆: coefficient of aspheric surface of the sixth order-   A₈: coefficient of aspheric surface of the eighth order-   A₁₀: coefficient of aspheric surface of the tenth order-   A₁₂: coefficient of aspheric surface of the 12th order-   A₁₄: coefficient of aspheric surface of the 14th order-   A₁₆: coefficient of aspheric surface of the 16th order-   A₁₈: coefficient of aspheric surface of the 18th order

An aspheric surface used here is defined by the following expression(Expression 12), when C is taken as a reciprocal of a paraxial curvatureradius (curvature radius), and H is taken as a height from an opticalaxis.

$\begin{matrix}{X = {\frac{{CH}^{2}}{1 + \sqrt{1 - {\left( {1 + K} \right)C^{2}H^{2}}}} + {A_{4} \cdot H^{4}} + {A_{6} \cdot H^{6}} + {A_{8} \cdot H^{8}} + {A_{10} \cdot H^{10}} + {A_{12} \cdot H^{12}} + {A_{14} \cdot H^{14}} + {A_{16} \cdot H^{16}} + {A_{18} \cdot H^{18}}}} & \left\lbrack {{Expression}\mspace{14mu} 12} \right\rbrack\end{matrix}$

FIG. 1 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 1 of the present invention.

The image-forming lens illustrated in FIG. 1 has a first lens E1, asecond lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, asixth lens E6, a seventh lens E7, an aperture FA, and a filter MF.

The first lens E1, the second lens E2, and the third lens E3 constitutea first lens group G1, which is placed on an object side from theaperture FA. The fourth lens E4, the fifth lens E5, the sixth lens E6,and the seventh lens E7 constitute a second lens group G2, which isplaced on an image plane (image) side from the aperture FA. Each of thelens groups is supported by a common supporting frame and so on pergroup, and in a case of focusing and the like, each lens group movesintegrally.

In this case, the aperture FA moves integrally with the second lensgroup G2.

In FIG. 1, a surface number of each optical surface is also illustrated.

Each reference sign in FIG. 1 is used independently per example;therefore if the same reference signs are used in each of FIGS. 4, 7,10, and 13, each example does not always have a common constitution.

In FIG. 1, optical elements of an optical system of the image-forminglens, the first lens E1, the second lens E2, the third lens E3, theaperture FA, the fourth lens E4, the fifth lens E5, the sixth lens E6,the seventh lens E7, and the filter MF are placed in order from theobject side of a photographic subject or the like, and an image of anobject is formed behind the filter MF.

The first lens E1 is a negative meniscus lens that has a surface on theimage side having a larger curvature (that is, a surface having a smallcurvature radius) than that on the object side, and a convex surface onthe object side.

The second lens E2 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side and anaspheric shape, and has a convex surface on the object side.

The first lens E1 and the second lens E2 constitute a first F lens groupS1F having a negative refractive power as a whole, and the first lens E1corresponds to a first negative lens, and the second lens E2 correspondsto a second negative lens.

The third lens E3 is a positive lens of a biconvex lens that has asurface on the object side having a larger curvature than that on theimage side. And in this case, the third lens E3 constitutes alone afirst R lens group S1R having a positive refractive power.

That is, the first lens group G1 includes the first F lens group S1Fhaving the negative refractive power of the first lens E1 and the secondlens E2, and the first R lens group S1R having the positive refractivepower of the third lens E3.

The fourth lens E4 is a positive lens of a biconvex lens, and the fifthlens E5 is a negative lens of a biconcave lens, and the fourth lens E4and the fifth lens E5 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the fourth lens E4 and the fifth lens E5constitutes a second F lens group S2F that has a surface on the imageside having a larger curvature than that on the object side, and aconvex meniscus shape on the object side as a whole.

The sixth lens E6 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side, andan aspheric and convex surface on the image side.

The sixth lens E6 constitutes a second M lens group S2M alone.

The seventh lens E7 is a positive meniscus lens that has a surface onthe image side having a larger curvature than that on the object sideand an aspheric and convex shape.

The seventh lens E7 constitutes a second R lens group S2R alone.

That is, the second lens group G2 includes the second F lens group S2Fof the cemented lens of the fourth lens E4 and the fifth lens E5, thesecond M lens group S2M having the negative refractive power of thesixth lens E6, and the second R lens group S2R having the positiverefractive power of the seventh lens E7.

In the image-forming lens according to the embodiment of the presentinvention, regarding focusing, a simple entire extension of theimage-forming lens is not performed, and in a case of focusing on anobject in the near distance, an interval between the first lens group G1and the second lens group G2 is shortened compared with that in a stateof focusing on an object at infinity.

In Example 1, since the aperture FA moves integrally with the secondlens group G2, the interval between the first lens group G1 and thesecond lens group G2 is a sum of a changeable interval DA between thefirst lens group G1 and the aperture FA and a fixed distance from theaperture FA and a surface on the object side of the fourth lens E4 ofthe second lens group G2.

That is, in accordance with an entire extension of the image-forminglens by focusing on the object in the near distance from infinity(increase of a changeable interval DB between the second lens group G2and the filter MF), the changeable interval DA between the first lensgroup G1 and the aperture FA is moved to be smaller than that in a stateof focusing on the object at infinity, in the case of focusing on theobject in the near distance.

In Example 1, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω is as follows.

-   f=18.28-   F=2.51-   ω=38.3

an optical characteristic of each optical element is expressed in thefollowing table.

TABLE 1 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME REMARKS  1 20.770 1.20 1.49700 81.54 0.5375 OHARA S-FPL51 E1S1F G1  2 8.251 5.94  3 * −20.537 1.20 1.48749 70.24 0.5300 OHARA S-FSL5E2  4 −96.870 0.13  5 13.535 3.62 1.77250 49.60 0.5520 OHARA S-LAH66 E3S1R  6 −62.660 CHANGEABLE INTERVAL DA  7 APERTURE 1.00 FA  8 21.118 3.291.78800 47.37 0.5559 OHARA S-LAH64 E4 S2F G2  9 −9.881 1.00 1.6989530.13 0.6030 OHARA S-TIM35 E5 10 18.982 3.85 11 −6.605 1.22 1.8466623.77 0.6198 OHARA L-TIH53 E6 S2M 12 * −14.621 0.10 13 −263.010 5.441.85400 40.39 0.5677 OHARA L-LAH85 E7 S2R 14 * −11.149 CHANGEABLEINTERVAL DB 15 ∞ 3.20 1.51680 64.20 FILTER MF 16 ∞ In an opticalcharacteristic table as in Table 1, an aspheric surface is expressed bya surface number with * (asterisk), and a name of a manufacturer of aglass material is expressed before a glass name, such as OHARA (OHARAINC.) and HOYA (HOYA CORPORATION) (in Example 1, a glass material ofHOYA CORPORATION is not used.).

Those are the same as those in Examples 2 to 6.

That is, in Table 1, aspheric surfaces are a third surface, a 12thsurface, and a 14th surface, and each aspheric surface parameter in[Expression 12] is as follows.

Aspheric Surface Parameter Aspheric Surface of the Third Surface

-   K=0.0-   A₄=−9.88622×10⁻⁶-   A₆=−1.42073×10⁻⁷-   A₆=−3.19806×10⁻⁹-   A₁₀=1.97408×10⁻¹¹

Aspheric Surface of the 12th Surface

-   K=−0.16558-   A₄=1.59985×10⁻⁴-   A₆=1.84355×10⁻⁶-   A₆=−2.65881×10⁻⁸-   A₁₀=1.97333×10⁻¹⁰

Aspheric Surface of the 14th Surface

-   K=−0.21279-   A₄=1.80877×10⁻⁵-   A₆=1.25436×10⁻⁷-   A₈=5.41982×10⁻¹⁰-   A₁₀=1.54602×10⁻¹¹

The changeable interval DA between the first lens group G1 and theaperture FA, and the changeable interval DB between the second lensgroup G2 and the filter MF are changed as described in the followingtable, and in the case of focusing, in a state of focusing on the objectat infinity, and in a state of focusing on the object in the neardistance at an imaging magnification of − 1/20×.

TABLE 2 Changeable interval INFINITY − 1/20× DA 2.000 1.780 DB 12.83813.811

Values corresponding to the above-described Conditional expressions 1 to14 in Example 1 are as follows.

Values of Conditional Expressions

L/Y′=3.28   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=−1.538   [2]

Bf/Y′=1.165   [3]

L ₁ /L=0.260   [4]

f _(A) /f ₁=0.532   [5]

f _(1F) /f _(1R)=−1.189   [6]

A _(1F−1R) /L ₁=0.0108   [7]

n_(d)=1.497   [8]

v_(d)=81.5   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0361   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=−0.226   [11]

f _(2b) /f ₂=−0.526   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−2.65   [13]

n_(d2b)=1.847   [14]

Therefore, each value of the above-described Conditional expressions 1to 14 in Example 1 is within a range of each conditional expression, andis satisfied with each of Conditional expressions 1 to 14.

FIG. 2 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 1 is focused on the object atinfinity. And FIG. 3 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 1 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane.

“g” and “d” in each aberration diagram of spherical aberration,astigmatism, and comatic aberration express a g-line, and a d-line,respectively.

Those are the same as in aberration diagrams in other examples.

EXAMPLE 2

FIG. 4 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 2 of the present invention.

The image-forming lens illustrated in FIG. 4 has a first lens E1, asecond lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, asixth lens E6, a seventh lens E7, an aperture FA, and a filter MF.

In this case, the first lens E1, the second lens E2, and the third lensE3 constitute a first lens group G1, which is placed on an object sidefrom the aperture FA. The fourth lens E4, the fifth lens E5, the sixthlens E6, and the seventh lens E7 constitute a second lens group G2,which is placed on an image plane (image) side from the aperture FA.Each of the lens groups is supported by a common supporting frame and soon per group, and in a case of focusing and the like, each lens groupmoves integrally.

In this case, the aperture FA moves integrally with the first lens groupG1.

In FIG. 4, a surface number of each optical surface is also illustrated.

As described above, each reference sign in FIG. 4 is used independentlyper example; therefore if the same reference signs are used in each ofFIGS. 1, 7, 10, and 13, each example does not always have a commonconstitution.

In FIG. 4, optical elements of an optical system of the image-forminglens, the first lens E1, the second lens E2, the third lens E3, theaperture FA, the fourth lens E4, the fifth lens E5, the sixth lens E6,the seventh lens E7, and the filter MF are placed in order from theobject side of a photographic subject or the like, and an image of anobject is formed behind the filter MF.

The first lens E1 is a negative meniscus lens that has a surface on theimage side having a larger curvature than that on the object side, and aconvex surface on the object side, and both surfaces of that areaspheric.

The second lens E2 is a negative lens of a biconcave lens that has asurface on the object side having a larger curvature than that on theimage side.

The first lens E1 and the second lens E2 constitute a first F lens groupS1F having a negative refractive power as a whole, and the first lens E1corresponds to a first negative lens, and the second lens E2 correspondsto a second negative lens.

The third lens E3 is a positive lens of a biconvex lens that has asurface on the object side having a larger curvature than that on theimage side. And in this case, the third lens E3 constitutes alone afirst R lens group S1R having a positive refractive power.

That is, the first lens group G1 includes the first F lens group S1Fhaving the negative refractive power of the first lens E1 and the secondlens E2, and the first R lens group S1R having the positive refractivepower of the third lens E3.

The fourth lens E4 is a positive lens of a biconvex lens, the fifth lensE5 is a negative lens of a biconcave lens, and the fourth lens E4 andthe fifth lens E5 are cemented together integrally to form a cementedlens of two lenses.

The cemented lens of the fourth lens E4 and the fifth lens E5 constitutea second F lens group S2F that has a convex meniscus shape on the objectside as a whole.

The sixth lens E6 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side, and aconvex surface on the image side.

The sixth lens E6 constitutes a second M lens group S2M alone.

The seventh lens E7 is a positive meniscus lens that has a surface onthe image side having a larger curvature than that on the object sideand an aspheric and convex shape.

The seventh lens E7 constitutes a second R lens group S2R alone.

That is, the second lens group G2 includes the second F lens group S2Fof the cemented lens of the fourth lens E4 and the fifth lens E5, thesecond M lens group S2M having the negative refractive power of thesixth lens E6, and the second R lens group S2R having the positiverefractive power of the seventh lens E7.

As described above, in the image-forming lens according to the presentinvention, regarding focusing, a simple entire extension of theimage-forming lens is not performed, and in a case of focusing on anobject in the near distance, an interval between the first lens group G1and the second lens group G2 is shortened compared with that in a stateof focusing on an object at infinity.

In Example 2, since the aperture FA moves integrally with the first lensgroup G1, the interval between the first lens group G1 and the secondlens group G2 is a sum of a fixed distance from a surface on the imageside of the third lens E3 of the first lens group G1 to the aperture FAand a changeable interval DA between the aperture FA and the second lensgroup G2.

That is, in accordance with an entire extension of the image-forminglens by focusing on the object in the near distance from infinity(increase of a changeable interval DB between the second lens group G2and the filter MF), the changeable interval DA between the aperture FAand the second lens group G2 is moved to be smaller than that in a stateof focusing on the object at infinity, in the case of focusing on theobject in the near distance.

In Example 2, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω is as follows.

-   f=18.29-   F=2.52-   ω=38.2

An optical characteristic of each optical element is expressed in thefollowing table.

TABLE 2 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME REMARKS  1 * 14.450 1.60 1.55332 71.68 0.5402 HOYA M-FCD500E1 S1F G1  2 * 7.261 10.79   3 −30.101 1.20 1.59551 39.24 0.5803 OHARAS-TIM8 E2  4 460.622 0.10  5 23.157 2.62 1.77250 49.60 0.5520 OHARAS-LAH66 E3 S1R  6 −34.926 2.00  7 APERTURE CHANGEABLE FA INTERVAL DA  823.704 3.80 1.88300 40.76 0.5667 OHARA S-LAH58 E4 S2F G2  9 −14.944 1.001.69895 30.13 0.6030 OHARA S-TIM35 E5 10 21.363 3.08 11 −11.593 1.221.92286 18.90 0.6495 OHARA S-NPH2 E6 S2M 12 −19.415 0.10 13 −345.9293.41 1.82080 42.71 0.5642 HOYA M-TAFD51 E7 S2R 14 * −19.332 CHANGEABLEINTERVAL DB 15 ∞ 3.20 1.51680 64.20 FILTER MF 16 ∞

Also in Table 3, an aspheric surface is expressed by a surface numberwith * (asterisk), and a name of a manufacturer of a glass material isexpressed before a glass name, such as OHARA (OHARA INC.) and HOYA (HOYACORPORATION).

That is, in Table 3, aspheric surfaces are a first surface, a secondsurface, and a 14th surface, and each aspheric surface parameter in[Expression 12] is as follows.

Aspheric Surface Parameter Aspheric Surface of the First Surface

-   K=0.0-   A₄=−1.15383×10⁻⁴-   A₆=2.38416×10⁻⁷-   A₈=−1.86497×10⁻⁹

Aspheric Surface of the Second Surface

-   K=−0.71833-   A₄=−1.17671×10⁻⁵-   A₆=9.43499×10⁻⁷-   A₈=−4.64708×10⁻⁹-   A₁₀=7.05861×10⁻¹¹

Aspheric Surface of the 14th Surface

-   K=−0.28312-   A₄=6.41382×10⁻⁵-   A₆=2.15787×10⁻⁷-   A₈=−6.04112×10⁻¹⁰-   A₁₀=5.13609×10⁻¹²

The changeable interval DA between the aperture FA and the second lensgroup G2, and the changeable interval DB between the second lens groupG2 and the filter MF are changed as described in the following table, inthe case of focusing, in a state of focusing on the object at infinity,and in a state of focusing on the object in the near distance at animaging magnification of − 1/20×.

TABLE 4 Changeable interval INFINITY − 1/20× DA 5.720 5.370 DB 15.80416.740

Values corresponding to the above-described Conditional expressions 1 to14 in Example 2 are follows.

Values of Conditional Expressions

L/Y′=3.95   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=0.877   [2]

Bf/Y′=1.374   [3]

L ₁ /L=0.291   [4]

f _(A) /f ₁=0.265   [5]

f _(1F) /f _(1R)=−0.861   [6]

A _(1F−1R) /L ₁=0.0061   [7]

n_(d)=1.553   [8]

v_(d)=71.7   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0211   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=−0.374   [11]

f _(2b) /f ₂=−1.503   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−3.96   [13]

n_(d2b)=1.923   [14]

Therefore, each value of the above-described Conditional expressions 1to 14 in Example 2 is within a range of each conditional expression, andis satisfied with each of Conditional expressions 1 to 14.

FIG. 5 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 2 is focused on an object atinfinity. And FIG. 6 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 2 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane.

“g” and “d” in each aberration diagram of spherical aberration,astigmatism, and comatic aberration express a g-line, and a d-line,respectively.

EXAMPLE 3

FIG. 7 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 3 of the present invention.

The image-forming lens illustrated in FIG. 7 has a first lens E1, asecond lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, asixth lens E6, a seventh lens E7, an eighth lens E8, an aperture FA, anda filter MF.

The first lens E1, the second lens E2, the third lens E3, and the fourthlens E4 constitute a first lens group G1, which is placed on an objectside from the aperture FA. The fifth lens E5, the sixth lens E6, theseventh lens E7, and the eighth lens E8 constitute a second lens groupG2, which is placed on an image plane (image) side from the aperture FA.Each of the lens groups is supported by a common supporting frame and soon per group, and in a case of focusing and the like, each lens groupmoves integrally.

In this case, the aperture FA moves integrally with the first lens groupG1.

In FIG. 7, a surface number of each optical surface is also illustrated.

As described above, each reference sign in FIG. 7 is used independentlyper example; therefore if the same reference signs are used in each ofFIGS. 1, 4, 10, and 13, each example does not always have a commonconstitution.

In FIG. 7, optical elements of an optical system of the image-forminglens, the first lens E1, the second lens E2, the third lens E3, thefourth lens E4, the aperture FA, the fifth lens E5, the sixth lens E6,the seventh lens E7, the eighth lens E8, and the filter MF are placed inorder from the object side, and an image of an object is formed behindthe filter MF.

The first lens E1 is a negative meniscus lens that has a surface on theimage side having a larger curvature than that on the object side, and aconvex surface on the object side, and both surfaces of that areaspheric.

The second lens E2 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side, and aconvex surface on the image side.

The first lens E1 and the second lens E2 constitute a first F lens groupS1F having a negative refractive power as a whole, and the first lens E1corresponds to a first negative lens, and the second lens E2 correspondsto a second negative lens.

The third lens E3 is a positive lens of a biconvex lens that has asurface on the image side having a larger curvature than that on theobject side. The fourth lens E4 is a negative meniscus lens that has asurface on the object side having a larger curvature than that on theimage side, and a convex surface on the image side. The third lens E3and the fourth lens E4 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the third lens E3 and the fourth lens E4 is formedinto a biconvex shape as a whole, and constitutes a first R lens groupS1R having a positive refractive power.

That is, the first lens group G1 includes the first F lens group S1Fhaving the negative refractive power of the first lens E1 and the secondlens E2, and the first R lens group S1R having the positive refractivepower of the third lens E3 and the fourth lens E4.

The fifth lens E5 is a positive lens of a biconvex lens, and the sixthlens E6 is a negative lens of a biconcave lens, and the fifth lens E5and the sixth lens E6 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the fifth lens E5 and the sixth lens E6 constitutea second F lens group S2F that has a negative meniscus shape on theobject side as a whole.

The seventh lens E7 is a negative meniscus lens that has a surface onthe object side having a larger curvature than that on the image side,and a convex surface on the image side.

The seventh lens E7 constitutes a second M lens group S2M alone.

The eighth lens E8 is a positive lens of a biconvex lens that has asurface on the image side having a larger curvature than that on theobject side and an aspheric shape.

The eighth lens E8 constitutes a second R lens group S2R alone.

That is, the second lens group G2 includes the second F lens group S2Fof the cemented lens of the fifth lens E5 and the sixth lens E6, thesecond M lens group S2M having the negative refractive power of theseventh lens E7, and the second R lens group S2R having the positiverefractive power of the eighth lens E8.

As described above, in the image-forming lens according to theembodiment of the present invention, regarding focusing, a simple entireextension of the image-forming lens is not performed, and in a case offocusing on an object in the near distance, an interval between thefirst lens group G1 and the second lens group G2 is shortened comparedwith that in a state of focusing on an object at infinity.

In Example 3, since the aperture FA moves integrally with the first lensgroup G1, the interval between the first lens group G1 and the secondlens group G2 is a sum of a fixed distance from a surface on the imageside of the fourth lens E4 of the first lens group G1 to the aperture FAand a changeable interval DA between the aperture FA and the second lensgroup G2.

That is, in accordance with an entire extension of the image-forminglens by focusing on the object in the near distance from infinity(increase of a changeable interval DB between the second lens group G2and the filter MF), the changeable interval DA between the aperture FAand the second lens group G2 is moved to be smaller than that in a stateof focusing on the object at infinity, in the case of focusing on theobject in the near distance.

In Example 3, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω is as follows.

-   f=18.30-   F=2.52-   ω=38.2

an optical characteristic of each optical element is expressed in thefollowing table.

TABLE 5 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME REMARKS  1 * 28.690 1.60 1.61881 63.85 0.5416 HOYA M-PCD4 E1S1F G1  2 * 10.000 7.02  3 −19.394 1.20 1.49700 81.54 0.5375 OHARAS-FPL51 E2  4 −31.344 0.10  5 29.273 3.96 1.88300 40.76 0.5667 OHARAS-LAH58 E3 S1R  6 −25.850 1.00 1.84666 23.78 0.6205 OHARA S-TIH53 E4  7−64.072 4.78  8 APERTURE CHANGEABLE FA INTERVAL DA  9 19.818 4.451.88300 40.76 0.5667 OHARA S-LAH58 E5 S2F G2 10 −11.751 1.00 1.6889331.07 0.6004 OHARA S-TIM28 E6 11 19.256 3.36 12 −11.072 1.20 1.8466623.78 0.6205 OHARA S-TIH53 E7 S2M 13 −27.188 0.10 14 79.600 3.90 1.8208042.71 0.5642 HOYA M-TAFD51 E8 S2R 15 * −17.988 CHANGEABLE INTERVAL DB 16∞ 3.20 1.51680 64.20 FILTER MF 17 ∞ Also in Table 5, an aspheric surfaceis expressed by a surface number with * (asterisk), and a name of amanufacturer of a glass material is expressed before a glass name, suchas OHARA (OHARA INC.) and HOYA (HOYA CORPORATION).

That is, in Table 5, aspheric surfaces are a first surface, a secondsurface, and a 15th surface, and each aspheric surface parameter in[Expression 12] is as follows.

Aspheric Surface Parameter Aspheric Surface of the First Surface

-   K=0.0-   A₄=−3.96377×10⁻⁵-   A₆=9.21553×10⁻⁸

Aspheric Surface of the Second Surface

-   K=−0.59156-   A₄=−8.37359×10⁻⁶-   A₆=3.49291×⁻⁷-   A₈=−5.31443×10⁻⁹-   A₁₀=5.50904×10⁻¹¹

Aspheric Surface of the 15th Surface

-   K=−0.56176-   A₄=7.57070×10⁻⁵-   A₆=3.27942×10⁻⁷-   A₈=−1.51207×10⁻⁹-   A₁₀=9.93156×10⁻¹²

The changeable interval DA between the aperture FA and the second lensgroup G2, and the changeable interval DB between the second lens groupG2 and the filter MF are changed as described in the following table, inthe case of focusing, in a state of focusing on the object at infinity,and in a state of focusing on the object in the near distance at animaging magnification of − 1/20×.

TABLE 6 Changeable interval INFINITY − 1/20× DA 5.440 5.000 DB 13.49714.422

Values corresponding to the above-described Conditional expressions 1 to14 in Example 3 are as follows.

Values of Conditional Expressions

L/Y′=3.97   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=−4.268   [2]

Bf/Y′=1.211   [3]

L ₁ /L=0.264   [4]

f _(A) /f ₁=0.163   [5]

f _(1F) /f _(1R)=−0.867   [6]

A _(1F−1R) /L ₁=0.0067   [7]

n_(d)=1.497   [8]

v_(d)=81.5   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0361   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=−0.476   [11]

f _(2b) /f ₂=−0.871   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−2.37   [13]

n_(d2b)=1.847   [14]

Therefore, each value of the above-described Conditional expressions 1to 14 in Example 3 is within a range of each conditional expression, andis satisfied with each of Conditional expressions 1 to 14.

FIG. 8 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 3 is focused on an object atinfinity. And FIG. 9 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 3 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane.

“g” and “d” in each aberration diagram of spherical aberration,astigmatism, and comatic aberration express a g-line, and a d-line,respectively.

EXAMPLE 4

FIG. 10 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 4 of the present invention.

The image-forming lens illustrated in FIG. 10 has a first lens E1, asecond lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, asixth lens E6, a seventh lens E7, an eighth lens E8, an aperture FA, anda filter MF.

The first lens E1, the second lens E2, the third lens E3, and the fourthlens E4 constitute a first lens group G1, which is placed on an objectside from the aperture FA. The fifth lens E5, the sixth lens E6, theseventh lens E7, and the eighth lens E8 constitute a second lens groupG2, which is placed on an image plane (image) side from the aperture FA.Each of the lens groups is supported by a common supporting frame and soon per group, and in a case of focusing and the like, each lens groupmoves integrally.

Also in this case, the aperture FA moves integrally with the first lensgroup G1.

In FIG. 10, a surface number of each optical surface is alsoillustrated.

As described above, each reference sign in FIG. 10 is used independentlyper example; therefore if the same reference signs are used in each ofFIGS. 1, 4, 7, and 13, each example does not always have a commonconstitution.

In FIG. 10, optical elements of an optical system of the image-forminglens, the first lens E1, the second lens E2, the third lens E3, thefourth lens E4, the aperture FA, the fifth lens E5, the sixth lens E6,the seventh lens E7, the eighth lens E8, and the filter MF are placed inorder from the object side, and an image of an object is formed behindthe filter MF.

The first lens E1 is a negative meniscus lens that has a surface on theimage side having a larger curvature than that on the object side, and aconvex surface on the object side, and both surfaces of that areaspheric.

The second lens E2 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side, and aconvex surface on the image side.

The first lens E1 and the second lens E2 constitute a first F lens groupS1F having a negative refractive power as a whole, and the first lens E1corresponds to a first negative lens and the second lens E2 correspondsto a second negative lens.

The third lens E3 is a positive lens of a biconvex lens that has asurface on the image side having a larger curvature than that on theobject side. The fourth lens E4 is a negative meniscus lens that has asurface on the object side having a larger curvature than that on theimage side, and a convex surface on the image side. The third lens E3and the fourth lens E4 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the third lens E3 and the fourth lens E4 is formedinto a biconvex shape as a whole, and constitutes a first R lens groupS1R having a positive refractive power.

That is, the first lens group G1 includes the first F lens group S1Fhaving the negative refractive power of the first lens E1 and the secondlens E2, and the first R lens group S1R having the positive refractivepower of the third lens E3 and the fourth lens E4.

The fifth lens E5 is a positive lens of a biconvex lens, and the sixthlens E6 is a negative lens of a biconcave lens, and the fifth lens E5and the sixth lens E6 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the fifth lens E5 and the sixth lens E6 constitutesa second F lens group S2F that has a convex meniscus shape on the objectside as a whole.

The seventh lens E7 is a negative meniscus lens that has a surface onthe object side having a larger curvature than that on the image side,and a convex surface on the image side.

The seventh lens E7 constitutes a second M lens group S2M alone.

The eighth lens E8 is a positive lens of a biconvex lens that has asurface on the image side having a larger curvature than that on theobject side and an aspheric shape.

The eighth lens E8 constitutes a second R lens group S2R alone.

That is, the second lens group G2 includes the second F lens group S2Fof the cemented lens of the fifth lens E5 and the sixth lens E6, thesecond M lens group S2M having the negative refractive power of theseventh lens E7, and the second R lens group S2R having the positiverefractive power of the eighth lens E8.

As described above, in the image-forming lens according to theembodiment of the present invention, regarding focusing, a simple entireextension of the image-forming lens is not performed, and in a case offocusing on an object in the near distance, an interval between thefirst lens group G1 and the second lens group G2 is shortened comparedwith that in a state of focusing on an object at infinity.

In Example 4, since the aperture FA moves integrally with the first lensgroup G1, the interval between the first lens group G1 and the secondlens group G2 is a sum of a fixed distance from a surface on the imageside of the fourth lens E4 of the first lens group G1 to the aperture FAand a changeable interval DA between the aperture FA and the second lensgroup G2.

That is, in accordance with an entire extension of the image-forminglens by focusing on the object in the near distance from infinity(increase of a changeable interval DB between the second lens group G2and the filter MF), the changeable interval DA between the aperture FAand the second lens group G2 is moved to be smaller than that in a stateof focusing on the object at infinity, in the case of focusing on theobject in the near distance.

In Example 4, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω is as follows.

-   f=18.29-   F=2.55-   ω=38.3

an optical characteristic of each optical element is expressed in thefollowing table.

TABLE 7 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME REMARKS  1 * 22.274 1.20 1.61881 63.85 0.5416 HOYA M-PCD4 E1S1F G1  2 * 9.524 5.26  3 −15.506 0.80 1.49700 81.54 0.5375 OHARAS-FPL51 E2  4 −47.476 0.10  5 30.115 3.84 1.88300 40.76 0.5667 OHARAS-LAH58 E3 S1R  6 −13.728 0.70 1.84666 23.78 0.6205 OHARA S-TIH53 E4  7−32.069 2.10  8 APERTURE CHANGEABLE FA INTERVAL DA  9 20.592 4.591.88300 40.76 0.5667 OHARA S-LAH58 E5 S2F G2 10 −12.134 0.80 1.6476933.79 0.5938 OHARA S-TIM22 E6 11 18.982 4.25 12 −10.030 1.09 1.9228618.90 0.6495 OHARA S-NPH2 E7 S2M 13 −19.345 0.10 14 2966.881 3.181.85400 40.39 0.5677 OHARA L-LAH85 E8 S2R 15 * −16.546 CHANGEABLEINTERVAL DB 16 ∞ 3.20 1.51680 64.20 FILTER MF 17 ∞ Also in Table 7, anaspheric surface is expressed by a surface number with * (asterisk), anda name of a manufacturer of a glass material is expressed before a glassname, such as OHARA (OHARA INC.) and HOYA (HOYA CORPORATION).

That is, in Table 7, aspheric surfaces are a first surface, a secondsurface, and a 15th surface, and each aspheric surface parameter in[Expression 12] is as follows.

Aspheric Surface Parameter Aspheric Surface of the First Surface

-   K=0.0-   A₄=5.51335×10⁻⁶-   A₆=−2.26669×10⁻⁷

Aspheric Surface of the Second Surface

-   K=0.25063-   A₄=−4.96155×10⁻⁵-   A₆=9.77362×10⁻⁷-   A₈=−3.89927×10⁻⁸-   A₁₀=−3.82203×10⁻¹⁰-   A₁₂=1.87953×10⁻¹¹-   A₁₄=−2.16473×10⁻¹³

Aspheric Surface of the 15th Surface

-   K=0.0-   A₄=1.07649×10⁻⁴-   A₆=−1.45102×10⁻⁶-   A₈=6.57063×10⁻⁸-   A₁₀=−1.20942×10⁻⁹-   A₁₂=9.40772×10⁻¹²-   A₁₄=2.04652×10⁻¹⁴-   A₁₆=−7.56483×10⁻¹⁶-   A₁₈=3.26908×10⁻¹⁸

The changeable interval DA between the aperture FA and the second lensgroup G2, and the changeable interval DB between the second lens groupG2 and the filter MF are changed as described in the following table, inthe case of focusing, in a state of focusing on the object at infinity,and in a state of focusing on the object in the near distance at animaging magnification of − 1/20×.

TABLE 8 INFINITY − 1/20× DA 5.410 5.100 DB 11.466 12.393

Values corresponding to the above-described Conditional expressions 1 to14 in Example 4 are as follows.

Values of Conditional Expressions

L/Y′=3.42   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=−1.970   [2]

Bf/Y′=1.068   [3]

L ₁ /L=0.245   [4]

f _(A) /f ₁=0.217   [5]

f _(1F) /f _(1R)=0.928   [6]

A _(1F−1R) /L ₁=0.0084   [7]

n_(d)=1.497   [8]

v_(d)=81.5   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0361   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=0.334   [11]

f _(2b) /f ₂=−0.919   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−3.15   [13]

n_(d2b)=1.923   [14]

Therefore, each value of the above-described Conditional expressions 1to 14 in Example 4 is within a range of each conditional expression, andis satisfied with each of Conditional expressions 1 to 14.

FIG. 11 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 4 is focused on an object atinfinity. And FIG. 12 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 4 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane.

“g” and “d” in each aberration diagram of spherical aberration,astigmatism, and comatic aberration express a g-line, and a d-line,respectively.

EXAMPLE 5

FIG. 13 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 5 of the present invention.

The image-forming lens illustrated in FIG. 13 has a first lens E1, asecond lens E2, a third lens E3, a fourth lens E4, a fifth lens E5, asixth lens E6, a seventh lens E7, an eighth lens E8, a ninth lens E9, anaperture FA, and a filter MF.

The first lens E1, the second lens E2, the third lens E3, and the fourthlens E4 constitute a first lens group G1, which is placed on an objectside from the aperture FA. The fifth lens E5, the sixth lens E6, theseventh lens E7, the eighth lens E8, and the ninth lens E9 constitute asecond lens group G2, which is placed on an image plane (image) sidefrom the aperture FA. Each of the lens groups is supported by a commonsupporting frame and so on per group, and in a case of focusing and thelike, each lens group moves integrally.

In this case, the aperture FA moves integrally with the first lens groupG1.

In FIG. 13, optical elements of an optical system of the image-forminglens, the first lens E1, the second lens E2, the third lens E3, thefourth lens E4, the aperture FA, the fifth lens E5, the sixth lens E6,the seventh lens E7, the eighth lens E8, the ninth lens E9, and thefilter MF are placed in order from the object side, and an image of anobject is formed behind the filter MF.

The first lens E1 is a negative meniscus lens that has a surface on theimage side having a larger curvature than that on the object side, and aconvex surface on the object side, and the surface on the image side isaspheric.

The second lens E2 is a negative meniscus lens that has a surface on theobject side having a larger curvature than that on the image side, and aconvex surface on the image side.

The first lens E1 and the second lens E2 constitute a first F lens groupS1F having a negative refractive power as a whole, and the first lens E1corresponds to a first negative lens and the second lens E2 correspondsto a second negative lens.

The third lens E3 is a positive lens of a biconvex lens that has asurface on the image side having a larger curvature than that on theobject side. The fourth lens E4 is a negative meniscus lens that has asurface on the object side having a larger curvature than that on theimage side, and a convex surface on the image side. The third lens E3and the fourth lens E4 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the third lens E3 and the fourth lens E4 is formedinto a biconvex shape as a whole, and constitutes a first R lens groupS1R having a positive refractive power.

That is, the first lens group G1 includes the first F lens group S1Fhaving the negative refractive power of the first lens E1 and the secondlens E2, and the first R lens group S1R having the positive refractivepower of the third lens E3 and the fourth lens E4.

The fifth lens E5 is a positive lens of a biconvex lens, and the sixthlens E6 is a negative lens of a biconcave lens, and the fifth lens E5and the sixth lens E6 are cemented together integrally to form acemented lens of two lenses.

The cemented lens of the fifth lens E5 and the sixth lens E6 constitutea second F lens group S2F that has a convex meniscus shape on the objectside as a whole.

The seventh lens E7 is a negative lens of a biconcave lens that has asurface on the object side having a larger curvature than that on theimage side. The eighth lens E8 is a positive lens of a biconvex lensthat has a surface on the image side having a larger curvature than thaton the object side. The seventh lens E7 and the eighth lens E8 arecemented together integrally to form a cemented lens of two lenses.

The cemented lens of the seventh lens E7 and the eighth lens E8 that hasa convex surface on the image side and a negative meniscus shape as awhole, and constitutes a second M lens group S2M having a negativerefractive power.

The ninth lens E9 is a positive meniscus lens that has a surface on theimage side having a larger curvature than that on the object side and anaspheric and convex shape.

The ninth lens E9 constitutes a second R lens group S2R alone.

That is, the second lens group G2 includes the second F lens group S2Fof the cemented lens of the fifth lens E5 and the sixth lens E6, thesecond M lens group S2M having the negative refractive power of thecemented lens of the seventh lens E7 and the eighth lens E8, and thesecond R lens group S2R having a positive refractive power of the ninthlens E9.

As described above, in the image-forming lens according to the presentinvention, regarding focusing, a simple entire extension of theimage-forming lens is not performed, and in a case of focusing on anobject in the near distance, an interval between the first lens group G1and the second lens group G2 is shortened compared with that in a stateof focusing on an object at infinity.

In Example 5, since the aperture FA moves integrally with the first lensgroup G1, the interval between the first lens group G1 and the secondlens group G2 is a sum of a fixed distance from a surface on the imageside of the fourth lens E4 of the first lens group G1 to the aperture FAand a changeable interval DA between the aperture FA and the second lensgroup G2.

That is, in accordance with an entire extension of the image-forminglens by focusing on the object in the near distance from infinity(increase of a changeable interval DB between the second lens group G2and the filter MF), the changeable interval DA between the aperture FAand the second lens group G2 is moved to be smaller than that in a stateof focusing on the object at infinity, in the case of focusing on theobject in the near distance.

In Example 5, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω are as follows.

-   f=18.30-   F=2.56-   ω=38.2

An optical characteristic of each optical element is expressed in thefollowing table.

TABLE 9 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME REMARKS  1 20.090 1.20 1.61881 63.85 0.5416 HOYA M-PCD4 E1S1F G1  2 * 9.524 4.83  3 −18.555 0.80 1.49700 81.54 0.5375 OHARAS-FPL51 E2  4 −331.232 0.10  5 24.844 3.14 1.88300 40.76 0.5667 OHARAS-LAH58 E3 S1R  6 −16.981 0.80 1.84666 23.78 0.6205 OHARA S-TIH53 E4  7−57.153 2.10  8 APERTURE CHANGEABLE FA INTERVAL DA  9 19.843 4.511.88300 40.76 0.5667 OHARA S-LAH58 E5 S2F G2 10 −13.620 0.80 1.6200436.26 0.5879 OHARA S-TIM2 E6 11 29.999 3.43 12 −12.853 0.80 1.8466623.78 0.6205 OHARA S-TIH53 E7 S2F 13 62.695 3.26 1.88300 40.76 0.5667OHARA S-LAH58 E8 14 −21.946 0.10 15 −166.052 2.13 1.85400 40.39 0.5677OHARA L-LAH85 E9 S2R 16 * −26.786 CHANGEABLE INTERVAL DB 17 ∞ 3.201.51680 64.20 FILTER MF 18 ∞ Also in Table 9, an aspheric surface isexpressed by a surface number with * (asterisk), and a name of amanufacturer of a glass material is expressed before a glass name, suchas OHARA (OHARA INC.) and HOYA (HOYA CORPORATION).

That is, in Table 9, aspheric surfaces are, a second surface, and a 16thsurface, and each aspheric surface parameter in [Expression 12] is asfollows.

Aspheric Surface Parameter Aspheric Surface of the Second Surface

-   K=−0.19254-   A₄=2.29237×10⁻⁵-   A₆=1.87839×10⁻⁷-   A₈=1.69982×10⁻⁸-   A₁₀=−4.09939×10⁻¹⁰-   A₁₂=5.19254×10⁻¹²

Aspheric Surface of the 16th Surface

-   K=0.0-   A₄=8.53049×10⁻⁵-   A₆=−1.65776×10⁻⁷-   A₈=1.06167×10⁻⁸-   A₁₀=−1.01522×10⁻¹⁰-   A₁₂=4.07983×10⁻¹³

The changeable interval DA between the aperture FA and the second lensgroup G2, and the changeable interval DB between the second lens groupG2 and the filter MF are changed as described in the following table, inthe case of focusing, in a state of focusing on the object at infinity,and in a state of focusing on the object in the near distance at animaging magnification of − 1/20×.

TABLE 10 Changeable interval INFINITY − 1/20× DA 4.580 4.250 DB 12.43813.353

Values corresponding to the above-described Conditional expressions 1 to14 in Example 5 are follows.

Values of Conditional Expressions

L/Y′=3.43   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=−1.119   [2]

Bf/Y′=1.136   [3]

L ₁ /L=0.223   [4]

f _(A) /f ₁=0.0183   [5]

f _(1F) /f _(1R)=−0.836   [6]

A _(1F−1R) /L ₁=0.0092   [7]

n_(d)=1.497   [8]

v_(d)=81.5   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0361   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=−0.361   [11]

f _(2b) /f ₂=−2.305   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−3.83   [13]

n_(d2b)=1.865   [14]

Therefore, each value of the above-described Conditional expressions 1to 14 in Example 5 is within a range of each conditional expression, andis satisfied with each of Conditional expressions 1 to 14.

FIG. 14 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 5 is focused on an object atinfinity. And FIG. 15 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 5 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane.

“g” and “d” in each aberration diagram of spherical aberration,astigmatism, and comatic aberration express a g-line, and a d-line,respectively.

EXAMPLE 6

FIG. 16 is a schematic vertical cross-sectional diagram illustrating aconstitution of an optical system of an image-forming lens according toExample 6 of the present invention.

An image-forming lens illustrated in FIG. 16 includes, from an objectside to an image side in order, a first lens group G1, an aperture FA,and a second lens group G2. The first lens group G1 has a positiverefractive power, or is approximately afocal, and the second lens groupG2 has a positive refractive power.

The first lens group G1 includes, from the object side to the image sidein order, a first negative lens E1, a second negative lens E2, and afirst R lens group S1R. A negative lens which has a surface on the imageside having a large curvature constitutes the first negative lens E1. Anegative lens which has a surface on the object side having a largecurvature constitutes the second negative lens E2. A single lens or acemented lens constitutes the first R lens group S1R having a positiverefractive power.

Therefore, an arrangement of the refractive power of the first lensgroup G1 is “negative, negative, and positive”, from the object side tothe image side.

The second lens group G2 includes, from the object side to the imageside in order: a second F lens group S2F, a second M lens group S2M, anda second R lens group S2R.

A cemented lens of a biconvex lens and a biconcave lens constitutes thesecond F lens group S2F having a positive refractive power. A singlelens or a cemented lens constitutes the second M lens group S2M having anegative refracting power. A positive lens constitutes the second R lensS2R. Therefore, an arrangement of the refractive power of the secondlens group G2 is “positive, negative, and positive”, from the objectside to the image side.

A surface of a lens on a most object side of the second M lens group S2Mis a concave surface, and a surface of a lens on a most image side ofthe second M lens group S2M is a convex surface.

In Example 6, each of a focal length of an entire system f, a smallestf-number F, and a half-field angle ω are as follows.

-   f=17.00-   F=2.55-   ω=40.3

An optical characteristic of each optical element is expressed in thefollowing table.

TABLE 11 Optical characteristic SURFACE NUMBER R D N_(d) ν_(d) P_(g, F)GLASS NAME  1 * 18.933 1.20 1.67790 54.89 0.5458 OHARA L-LAL12  2 *9.524 5.75  3 −15.521 0.80 1.49700 81.54 0.5375 OHARA S-FPL51  4−323.082 0.10  5 27.191 3.42 1.88300 40.76 0.5667 OHARA S-LAH58  6−12.977 0.80 1.84666 23.78 0.6205 OHARA S-TIH53  7 −35.061 2.10  8APERTURE CHANGEABLE INTERVAL DA  9 18.941 4.32 1.88300 40.76 0.5667OHARA S-LAH58 10 −14.601 0.80 1.58144 40.75 0.5774 OHARA S-TIL25 1126.050 3.46 12 −12.645 0.80 1.92286 18.90 0.6495 OHARA S-NPH2 13 −95.2302.39 1.88300 40.76 0.5667 OHARA S-LAH58 14 −20.038 0.10 15 −217.934 1.971.86400 40.58 0.5669 OHARA L-LAH83 16 * −28.435 CHANGEABLE INTERVAL DB17 ∞ 3.20 1.51680 64.20 FILTER 18 ∞ In Table 11, aspheric surfacesexpressed by surface numbers with * (asterisk) are, a first surface, asecond surface, and a 16th surface, and each aspheric surface parameterin [Expression 12] is as follows.

Aspheric Surface Parameter Aspheric Surface of the First Surface

-   K=0.0-   A₄=1.10688×10⁻⁴-   A₆=−1.10007×10⁻⁶-   A₈=5.03927×10⁻⁹

Aspheric Surface of the Second Surface

-   K=0.14781-   A₄=1.27085×10⁻⁴-   A₆=−1.46445×10⁻⁶-   A₈=5.59801×10⁻⁸-   A₁₀=−1.64269×10⁻⁹-   A₁₂=1.81646×10⁻¹¹

Aspheric Surface of the 16th Surface

-   K=0.0-   A₄=1.02477×10⁻⁴-   A₆=−1.39868×10⁻⁷-   A₈=1.33655×10⁻⁸-   A₁₀=−1.43040×10⁻¹⁰-   A₁₂=5.99267×10⁻¹³

The changeable interval DA between the aperture FA and the second lensgroup G2, and the changeable interval DB between the second lens groupG2 and the filter MF are changed as described in the following table, inthe case of focusing, in a state of focusing on the object at infinity,and in a state of focusing on the object in the near distance at animaging magnification of − 1/20×.

TABLE 12 Changeable interval INFINITY − 1/20× DA 4.850 4.540 DB 11.03711.888

Values corresponding to the above-described Conditional expressions 1 to14 in Example 6 are follows.

Values of Conditional Expressions

L/Y′=3.35   [1]

(r ₂₁ +r ₂₂)/(r ₂₁ −r ₂₂)=−1.101   [2]

Bf/Y′=1.038   [3]

L ₁ /L=0.254   [4]

f _(A) /f ₁=0.0796   [5]

f _(1F) /f _(1R)=−0.832   [6]

A _(1F−1R) /L ₁=0.0083   [7]

n_(d)=1.497   [8]

v_(d)=81.5   [9]

P _(g,F)−(−0.001802×v _(d)+0.6483)=0.0361   [10]

(A _(1-2M) −A ₁₋₂)/(Bf _(M) −Bf)=−0.364   [11]

f _(2b) /f ₂=−1.914   [12]

(r _(2bF) +r _(2bR))/(r _(2bF) −r _(2bR))=−4.42   [13]

n_(d2b)=1.903   [14]

FIG. 16 illustrates each aberration diagram of spherical aberration,astigmatism, distortion, and comatic aberration in a state where theimage-forming lens according to Example 6 is focused on an object atinfinity. And FIG. 17 illustrates each aberration diagram of sphericalaberration, astigmatism, distortion, comatic aberration in a state wherethe image-forming lens according to Example 6 is focused on an object inthe near distance at − 1/20×.

In those aberration diagrams, a dashed-line in a spherical aberrationdiagram expresses a sine condition, a solid line in an astigmatismdiagram expresses astigmatism in a sagittal plane, and a dashed-line inthe astigmatism diagram expresses astigmatism in a meridional plane. “g”and “d” in each aberration diagram of spherical aberration, astigmatism,and comatic aberration express a g-line, and a d-line, respectively.

In each example, aberrations are corrected at a high level, andspherical aberration and axial chromatic aberration are so small thatthey are negligible.

Astigmatism, field curvature, and transverse chromatic aberration aresufficiently small, and comatic aberration and its color differencedistortion are favorably suppressed even in a most peripheral part, anddistortion also becomes sufficiently small an absolute value of which isless than or equal to 2.0%.

Thus, the image-forming lens according to each example of the presentinvention is wide-angle and has a large diameter such that a half-fieldangle is about 38 degrees, and a smallest f-number is less than 2.8, andextremely good optical performance can be maintained.

EXAMPLE 7

Next, the embodiment of the present invention structuring an imagingapparatus, for example, a digital camera, to which the image-forminglens according to the embodiment of the present invention as describedin each of Examples 1 to 6 is applied as an imaging optical system willbe explained with reference to FIGS. 19A to 21.

Each of FIGS. 19A and 19B illustrates an external view of a digitalcamera 100 seen from the front, that is, from a photographic subjectside, and FIG. 19A illustrates a state where a shooting lens iscollapsed in a body of the imaging apparatus, and FIG. 19B illustrates astate where the shooting lens is extended. FIG. 20 illustrates aperspective external view of the digital camera 100 seen from the back,that is, from a photographer's side. FIG. 21 is a block diagramillustrating a functional constitution of the digital camera 100.

Here, the digital camera 100 as the imaging apparatus is explained;however there are many cases where an imaging function equivalent to thedigital camera is mounted, not only in an imaging apparatus mainlyexclusive for imaging including a video imaging apparatus, a filmimaging apparatus, and so on, but also in a portable informationterminal device such as a mobile phone, a PDA (personal data assistant),or the like, and in addition, various information devices including aportable terminal device such as so-called a smartphone having thosefunctions.

External views of those information devices are slightly different fromeach other; however those information devices include substantially thesame function and constitution as the digital camera and the like, inwhich the image-forming lens according each example of the presentinvention can be applied.

As illustrated in FIGS. 19A, 19B, and 20, the digital camera 100includes a shooting lens 101, a shutter button 102, a zoom lever 103, aviewfinder 104, a flash 105, a liquid crystal display (LCD) monitor 106,an operating button 107, a power switch 108, a memory card slot 109, acommunication card slot 110, and so on.

Moreover, as illustrated in FIG. 21, the digital camera 100 includes alight-receiving element 201, a signal processor 202, an image processor203, a central processing unit (CPU) 204, a semiconductor memory 205,and a communication card or the like 206.

The digital camera 100 has the shooting lens 101, and thelight-receiving element 201 as an area sensor such as a CMOS(complementary metal-oxide semiconductor) image sensor, a CCD(charge-coupled device) image sensor, or the like. And an image of aphotographic target object, that is, an image of a photographic subjectformed by the shooting lens 101 as the imaging optical system isreceived by the light-receiving element 201.

As the shooting lens 101, the image-forming lens according to theembodiment of the present invention as described in each of Examples 1to 6 is used.

An output of the light-receiving element 201 is converted to digitalimage data by the signal processor 202 controlled by the CPU 204.

The digital image data converted by the signal processor 202 is recordedin the semiconductor memory 205 which is a nonvolatile memory or thelike, after a predetermined image processing is performed in the imageprocessor 203 controlled by the CPU 204.

In this case, the semiconductor memory 205 can be a memory card insertedin the memory card slot 109, or a semiconductor memory built into a bodyof the digital camera 100.

The LCD monitor 106 displays an image while shooting, and an imagestored in the semiconductor memory 205.

The image stored in the semiconductor memory 205 is sent to an externaldevice via the communication card or the like 206 inserted in thecommunication card slot 110.

As illustrated in FIG. 19A, the shooting lens 101 is collapsed in thebody of the digital camera 100, and in a collapsed state, when carryingthe digital camera 100. When a user operates the power switch 108 toturn the digital camera 100 on, as illustrated in FIG. 19B, the shootinglens 101 is extended from the body of the digital camera 100.

By operating the zoom lever 103, changing magnification by imageprocessing which changes a trimming area of the image of thephotographic subject, so-called digital zoom type zooming, is performed.

In this case, it is preferable that an optical system of the viewfinder104 also change magnification in cooperation with a change of aneffective field angle.

In many cases, focusing is performed by a half-pressing operation of theshutter button 102.

Focusing of the image-forming lens according to the embodiment of thepresent invention can be performed by a shifting of the entire lenssystem, but also by a shifting of the light-receiving element 201.

When focusing is performed by the shifting of the entire lens system (orby the shifting of the light-receiving element 201), in a case offocusing on the object in the near distance, the interval between thefirst lens group G1 and the second lens group G2 is shortened comparedwith that in a state of focusing on the object at infinity, so that itis possible to cancel a change of field curvature and minimizedegradation of optical performance in a limited distance.

Furthermore, focusing can be performed by only a shifting of the secondlens group G2.

When the shutter button 102 is further pressed and in a fully-pressedstate, shooting is performed, and then the above-described operation isperformed.

In a case where the image stored in the semiconductor memory 205 isdisplayed on the LCD monitor 106, and is sent to the external device viathe communication card or the like 206, a predetermined operation isperformed by the operating button 107.

The semiconductor memory 205 and the communication card or the like 206are inserted in an exclusive slot or a general-purpose slot, such as thememory card slot 109 and the communication card slot or the like, andused.

When the shooting lens 101 is in the collapsed state, each lens group ofthe image-forming lens does not have to be always aligned on the opticalaxis.

For example, in the case where shooting lens 101 is collapsed, if thesecond lens group G2 is shifted from the optical axis and stored inparallel with the first lens group G1, it is possible to realize athinner digital camera.

In the above-described imaging apparatus or information device, asdescribed above, it is possible to use the shooting lens 101 structuredby the image-forming lens as described in each of Examples 1 to 6 as theimaging optical system.

Therefore, it is possible to realize a small imaging apparatus or aninformation device with a high picture quality using a light-receivingelement with about 10 to 20 million pixels.

According to embodiments of the present invention, it is possible toachieve an image-forming lens that is wide-angle and has a largediameter such that the half-field angle is about 38 degrees and thesmallest f-number is less than 2.8, and is small enough, andsufficiently decreases astigmatism, field curvature, transversechromatic aberration, a color difference of comatic aberration,distortion and so on, and has a resolution corresponding to an imagesensor having 10 million to 20 million pixels, and has no point imagedistortion in a peripheral part of a field angle at an open aperture,and has high contrast, and does not cause unnecessary coloring in a partwhere a brightness difference is large, and is capable of drawing astraight line as a straight line without distortion, and an imagingapparatus and an information device using the image-forming lens.

According to an embodiment of the present invention, it is possible toachieve an image-forming lens which is capable of suppressingoccurrences of distortion due to asymmetry of a refractive power andtransverse chromatic aberration, correcting comatic aberration and acolor difference of comatic aberration, and suppressing not to lengthenback focus, and that is small and has a large diameter, and goodperformance.

According to the embodiment of the present invention, it is possible tobe wide-angle and have a large diameter such that the half-field angleis about 38 degrees and the smallest f-number is less than 2.8, and besmall enough, and sufficiently decrease astigmatism, field curvature,transverse chromatic aberration, a color difference of comaticaberration, distortion and so on, and have a resolution corresponding toan image sensor having 10 million to 20 million pixels, and have nopoint image distortion in a peripheral part of a field angle at an openaperture, and have high contrast, and not to cause unnecessary coloringin a part where a brightness difference is large, and draw a straightline as a straight line without distortion, so that it is possible toachieve an image-forming lens that is capable of obtaining highperformance and is small and has an extremely high picture quality.

According to the embodiment of the present invention, in particular, itis possible to correct each aberration favorably, and distance an exitpupil position from an image plane sufficiently, and be small and obtainhigh performance, so that it is possible to achieve an image-forminglens that keeps a light amount in a periphery of a picture and has ahigh picture quality.

According to the embodiment of the present invention, in particular, itis possible to improve flatness of the image plane, so that it ispossible to achieve an image-forming lens having a higher picturequality that has high resolution in an entire picture at an openaperture. And it is possible to balance miniaturization and highperformance properly, so that it is possible to achieve an image forminglens that is smaller and has a higher picture quality.

According to the embodiment of the present invention, in particular, itis possible to suppress an occurrence of spherical aberration inaccordance with a large diameter, and further obtain high performance,so that it is possible to achieve an image-forming lens that is capableof obtaining a shaper image at the open aperture and has a high picturequality.

According to the embodiment of the present invention, in particular, itis possible to correct chromatic aberration more favorably, and obtainmuch higher performance, so that it is possible to achieve animage-forming lens that suppresses color shifting and color blurring andhas a higher picture quality.

According to the embodiment of the present invention, in particular, itis possible to suppress an occurrence of chromatic aberration and obtainmuch higher performance, so that it is possible to achieve animage-forming lens that suppresses color shifting and color blurring andhas a higher picture quality. And it is possible to suppress a change ofoptical performance in accordance with focusing on an object placed in alimited distance and be small and obtain high performance, so that it ispossible to achieve an image-forming lens that has high resolution inthe entire picture in an entire imaging range from infinity to ashortest shooting distance and is small and has a high picture quality.

According to the embodiment of the present invention, in particular, itis possible to further suppress the change of optical performance inaccordance with focusing on the object placed in the limited distanceand be small and obtain higher performance, so that it is possible toachieve an image-forming lens that has high resolution in the entirepicture in the entire imaging range from infinity to the shortestshooting distance and is small and has a higher picture quality.

According to the embodiment of the present invention, it is possible touse an image-forming lens as an imaging optical system of an imagingapparatus that is wide-angle and has a large diameter such that thehalf-field angle is about 38 degrees and the smallest f-number is lessthan 2.8, and is small enough, and sufficiently decreases astigmatism,field curvature, transverse chromatic aberration, a color difference ofcomatic aberration, distortion and so on, and has a resolutioncorresponding to an image sensor having 10 million to 20 million pixels,and has no point image distortion in a peripheral part of a field angleat an open aperture, and has high contrast, and does not causeunnecessary coloring in a part where a brightness difference is large,and is capable of drawing a straight line as a straight line withoutdistortion, and image an image with a high picture quality, so that itis possible for a user to obtain the image with the high picture qualityby the imaging apparatus which is small and good for portability.

According to the embodiment of the present invention, it is possible touse an image-forming lens as an imaging optical system for an imagingfunction of an information device that is wide-angle and has a largediameter such that the half-field angle is about 38 degrees and thesmallest f-number is less than 2.8, and is small enough, andsufficiently decreases astigmatism, field curvature, transversechromatic aberration, a color difference of comatic aberration,distortion and so on, and has a resolution corresponding to an imagesensor having 10 million to 20 million pixels, and has no point imagedistortion in a peripheral part of a field angle at an open aperture,and has high contrast, and does not cause unnecessary coloring in a partwhere a brightness difference is large, and is capable of drawing astraight line as a straight line without distortion, and image an imagewith a high picture quality, so that it is possible for a user to obtainthe image with the high picture quality by the information device whichis small and good for portability, and send the image to an externaldevice.

Although the present invention has been described in terms of exemplaryembodiments, it is not limited thereto. It should be appreciated thatvariations may be made in the embodiments described by persons skilledin the art without departing from the scope of the present invention asdefined by the following claims.

1. An image-forming lens comprising, from an object side to an imageside in order: a first lens group; an aperture; and a second lens groupwith a positive refractive power, the first lens group including, fromthe object side in order: a first F lens group with a negativerefractive power; and a first R lens group with a positive refractivepower, the first F lens group including, from the object side in order:a first negative lens which has a surface on the image side having alarge curvature; and a second negative lens which has a surface on theobject side having a large curvature, and the first R lens groupincluding: any one of a positive lens and a cemented lens with apositive refractive power as a whole, wherein a distance from a surfaceon a most object side of the first lens group to an image plane in astate of focusing on an object at infinity: L, and a maximum imageheight: Y′ satisfy Conditional expression 1: 2.8<L/Y′<4.3.
 2. Theimage-forming lens according to claim 1, wherein the second lens groupincludes, from the object side to the image side in order: a second Flens group with a positive refractive power where a biconvex lens and abiconcave lens are cemented; a second M lens group with a negativerefractive power of a single lens or a cemented lens having a concaveshape on a surface on a most object side and a convex shape on a surfaceon a most image side; and a second R lens group of a positive lens. 3.The image-forming lens according to claim 2, wherein a focal length ofthe second M lens group: f_(2b), a focal length of the second lensgroup: f₂, a curvature radius of the surface on the most object side ofthe second M lens group: r_(2bF), and a curvature radius of the surfaceon the most image side of the second M lens group: r_(2bR) satisfyConditional expression 12: −3.0<f_(2b)/f₂<−0.4 and Conditionalexpression 13: −6.0<(r_(2bF)+r_(2bR))/(r_(2bF)−r_(2bR))<−2.0.
 4. Theimage-forming lens according to claim 3, wherein an average value of anrefractive index of the lens of the second M lens group: n_(d2b)satisfies Conditional expression 14: 1.80<n_(d2b)<2.20.
 5. Animage-forming lens comprising, from an object side to an image side inorder: a first lens group; an aperture; and a second lens group with apositive refractive power, the first lens group including, from theobject side in order: a first F lens group with a negative refractivepower; and a first R lens group with a positive refractive power, thefirst F lens group including, from the object side in order: a firstnegative lens which has a surface on the image side having a largecurvature; and a second negative lens which has a surface on the objectside having a large curvature, and the first R lens group including: anyone of a positive lens and a cemented lens with a positive refractivepower as a whole, wherein a distance from a surface on a most objectside of the first lens group to an image plane in a state of focusing onan object at infinity: L, a maximum image height: Y′, a curvature radiusof the surface on the object side of the second negative lens: r₂₁, anda curvature radius of a surface on the image side of the second negativelens: r₂₂ satisfy Conditional expression 1: 2.8<L/Y′<4.3 and Conditionalexpression 2: −7.0<(r₂₁+r₂₂)/(r₂₁−r₂₂)<−0.7.
 6. The image-forming lensaccording to claim 5, wherein a distance from a surface on a most imageside of the second lens group to the image plane in the state offocusing on the infinity object: Bf, and the maximum image height: Y′satisfy Conditional expression 3: 0.8<Bf/Y′<1.6.
 7. The image-forminglens according to claim 5, wherein a distance from the surface on themost object side of the first lens group to a surface on a most image ofthe first lens group: L₁, and the distance from the surface on the mostobject side of the first lens group to the image plane in the state offocusing on the object at infinity: L satisfy Conditional Expression 4:0.20<L₁/L<0.32.
 8. The image-forming lens according to claim 5, whereina focal length of an entire lens system: f_(A), and a focal length ofthe first lens group: f₁ satisfy Conditional expression 5:0.0<f_(A)/f₁<0.6.
 9. The image-forming lens according to claim 6,wherein a focal length of the first F lens group: f_(1F), a focal lengthof the first R lens group: f_(1R) satisfy Conditional expression 6:−1.3<f_(1F)/f_(1R)<−0.7.
 10. The image-forming lens according to claim5, wherein an interval between the first F lens group and the first Rlens group: A_(1F−1R), and the distance from the surface on the mostobject side of the first lens group to the surface on the most image ofthe first lens group: L₁ satisfy Conditional expression 7:0.0<A_(1F−1R)/L₁<0.1.
 11. The image-forming lens according to claim 5,wherein at least one of a material of the first negative lens and amaterial of the second negative lens of the first F lens group satisfiesConditional expression 8: 1.45<n_(d)<1.65, Conditional expression 9:55.0<v_(d)<95.0, and Conditional expression 10:0.015<P_(g,F)−(−0.001802×v_(d)+0.6483)<0.050, where a refractive indexof the first negative lens or the second negative lens of the first Flens group: n_(d), Abbe's number of the first negative lens or thesecond negative lens: v_(d), a partial dispersion ratio of the firstnegative lens or the second negative lens:P_(g,F)=(n_(g)−n_(F))/(n_(F)−n_(C)), and a refractive index with respectto each of a g-line, an F-line, and a C-line of an optical glassconstituting the negative lenses: n_(g), n_(F), and n_(C), respectively.12. The image-forming lens according to claim 5, wherein the first Rlens group is a cemented lens of a positive lens and a negative lensplaced from the object side in order.
 13. The image-forming lensaccording to claim 5, wherein in a state of focusing on an object in anear distance, an interval between the first lens group and the secondlens group is shortened compared with that in the state of focusing onthe object at infinity.
 14. The image-forming lens according to claim13, wherein an interval between the first lens group and the second lensgroup in the state of focusing on the object at infinity: A₁₋₂, aninterval between the first lens group and the second lens group in astate of focusing on the object in the near distance at imagingmagnification − 1/20×: A_(1-2M), a distance from a surface on a mostimage side of the second lens group to the image plane in the state offocusing on the object in the near distance at imaging magnification −1/20×: Bf_(M), and a distance from the surface on the most image side ofthe second lens group to the image plane in the state of focusing on theobject at infinity: Bf satisfy Conditional expression 11:−0.5<(A_(1-2M)−A₁₋₂)/(Bf_(M)−Bf)<−0.2.
 15. An imaging apparatuscomprising the image-forming lens according to claim 5 as an imagingoptical system.
 16. An information device having an imaging functioncomprising the image-forming lens according to claim 5 as an imagingoptical system.
 17. An image-forming lens comprising, from an objectside to an image side in order: a first lens group that has a positiverefractive power or is approximately afocal; an aperture; and a secondlens group having a positive refractive power, the first lens groupincluding, from the object side in order: a first negative lens that hasa surface on the image side having a large curvature; a second negativelens that has a surface on the object side having a large curvature; anda first R lens group having a positive refractive power of a single lensor a cemented lens, the second lens group including, from the objectside in order: a second F lens group with a positive refractive powerwhere a biconvex lens and a biconcave lens are cemented; a second M lensgroup with a negative refractive power of a single lens or a cementedlens having a concave shape on a surface on a most object side and aconvex shape on a surface on a most image side; and a second R lensgroup of a positive lens.
 18. The image-forming lens according to claim17, wherein a curvature radius of the surface on the object side of thesecond negative lens: r₂₁, a curvature radius of the surface on theimage side of the second negative lens: r₂₂ satisfy Conditionalexpression 2: −7.0<(r₂₁+r₂₂)/(r₂₁−r₂₂)<−0.7.
 19. An imaging apparatuscomprising the image-forming lens according to claim 17 as a shootingoptical system.
 20. A portable information terminal device comprisingthe image-forming lens according to claim 17 as a shooting opticalsystem of an imaging apparatus function part.